Answers
3x +10x -2=11
3x+10x=13
13x=13
X=1
y = 5x-1
For this case, the first thing you should do is replace the value of y in the first equation.
We have then:
3x + 2 (5x-1) = 11
We rewrite:
3x + 10x-2 = 11
3x + 10x = 11 + 2
3x + 10x = 13
We clear x:
13x = 13
x = 13/13
x = 1
We now substitute the value of x in expression 2:
y = 5 (1) -1
y = 5-1
y = 4
Answer:
The solution to the system of equations is:
x = 1
y = 4
Related Questions
Factor completely 3x(x + 2) + 4(x + 2). (1 point)
(x + 2)(7x)Prime
(x + 2)(3x + 4)
(x + 2)(12x)
Answers
ANSWER
[tex](x + 2)(3x + 4)[/tex]
EXPLANATION
The given expression is
[tex]3x(x + 2) + 4(x + 2)[/tex]
We can see that (x+2) is the greatest common factor.
We factor to obtain;
[tex](x + 2)( 3x + 4)[/tex]
The correct choice is C.
Answer:
(x + 2) (3x + 4)
Step-by-step explanation:
I got it correct on my test
The graph of a linear function has a slope of 5, and it passes through the point (–7, 5). What is the value of the dependent variable when the independent variable is equal to 2?
Answers
Final answer:
To find the value of the dependent variable, we use the point-slope form of the linear equation. Using the given slope of 5 and point (-7, 5), we first find the y-intercept to be 40. We then calculate the dependent variable's value to be 50 when the independent variable is 2.
Explanation:
The student has asked about the value of the dependent variable when the independent variable is 2 for a given linear function that has a slope of 5, and passes through the point (–7, 5). To find this value, one should use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
First, using the given point (–7, 5), we can find the y-intercept by substituting the slope and point into the equation:
y = 5x + b
5 = 5(-7) + b
b = 5 + 35
b = 40
So the equation of the line is y = 5x + 40. Now, to find the value of y when x is 2:
y = 5(2) + 40
y = 10 + 40
y = 50
Therefore, the value of the dependent variable when the independent variable is 2 is 50.
what is x in the equation
4(x+6)= 5(x+9)+4x?
Answers
4(x + 6) = 5( x + 9) + 4x
We wanna start with the distributive property
(4)(x) + (4)(6) = (5)(x) + (5)(9) + 4x
4x + 24 = 5x + 45 + 4x
4x + 24 = 9x + 45
Subtract 24 on both sides
4x + 24 - 24 = 9x + 45 - 24
4x = 9x + 21
Subtract 9x on both sides
4x - 9x = 9x + 21 - 9x
-5x = 21
Divide both sides by -5
-5x/-5 = 21/-5
x = -21/5
Mrs. Cho has 24 students in her class. Some of her students are also in the play. Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.
Answers
24% * 24 = 0.24 * 24 = 5.76
We got a decimal number as solution. The reason why exactly 24% students can't be in the play is because this percentage does not represent whole number of students. She can't take 0.76 students
If she wanted 25% students to be in a play it would mean she has to take:
25% * 24 = 0.25 *24 = 6 students
Which transformations are rotations?
Choose all answers that are correct.
Answers
Calculate the altitude of a triangle corresponding to its shortest side of it's area is 720cm², perimeter is 180cm and two of its sides are 80cm and 18cm.
Answers
altitude = 80 cm
Explanation:
1- getting the third side:
We are given that:
perimeter of the triangle is 180 cm
Two of its sides are 80 cm and 18 cm
This means that:
180 = 80 + 18 + third side
third side = 180 - (80+18)
third side = 82 cm
2- deducing the shortest side that we will use to get the altitude:
We have the three sides of the triangle 80 cm, 18 cm and 82 cm
It is obvious that the shortest side is 18 cm
We will use this side to calculate the altitude since we are given that the altitude corresponds to the shortest side.
3- getting the altitude:
area of triangle = 0.5 * base * altitude
We have:
area of triangle = 720 cm²
base = 18 cm
Substitute to get the altitude as follows:
720 = 0.5 * 18 * altitude
720 = 9*altitude
altitude = 80 cm
Hope this helps :)
please help me on this question
and explain.
Answers
So 3/2 is equivalent to 1.5. A negative times a positive is a negative. -8 * 1.5 is -12. -12 + 4 is -8. That makes the ordered pair (-8, -8). To -4, -4 * 1.5 is -6. -6 + 4 is -2. That makes the ordered pair (-4, -2). Now to -2, -2 * 1.5 is -3. -3 + 4 is 1. That makes (-2, 1). If you solve for the other 3 values correctly, you other ordered pairs are (0, 4), (2, 7), and (4, 10). When graphed, the points should be plotted as shown in the attatchment.
In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
Enter your answer in the box.
Answers
10cm
Because (The 30-60-90 Triangle Theorem)
In a 30-60-90 triangle, the length of the hypotenuse is TWICE the length of the shorter leg.
Thanks Shellbag101
The length of the hypotenuse is 10cm
SOH CAH TOA identityGiven a 30-60-90 triangle where:
Length of the shorter leg = 5cm (adjacent)
The hypotenuse is what we need.
[tex]cos \theta = \frac{adj}{hyp} \\ [/tex]
Substitute the given parameters
[tex]cos 60 = \frac{5}{h}\\ h =\frac{5}{cos 60}\\ h = \frac{5}{0.5}\\ h = 10cm[/tex]
Hence the length of the hypotenuse is 10cm
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
whats the answer to 8n−15=41
Answers
8*7=56
56-15=41
Hope this helped☺☺
+15 +15
8n=56 DIVIDE BY 8
/8 /8
n=7 FINAL ANSWER
part one: How do you solve a system of equations approximately using graphs and tables?
part 2: A lake has a native population of 1,000 frogs. The native frog population increases at a rate of 200 frogs per year. A new species of 10 frogs migrates to the lake. This new species’ population increases at a rate of 50% per year. When will the two populations equal each other? Select to reveal each frog population’s growth model.
the rest: A system of equations can be created with the two functions to determine when the populations will have the same population output value, y.
y = 200x + 1,000
y = 10(1.5x)
To determine when the populations will be equal, set the equations equal to each other, and solve for x.
200x + 1,000 = 10(1.5x)
This equation is a little more challenging to solve by algebraic methods. In this lesson, you will solve systems of equations like the one above approximately by effectively using technology and tables.
Answers
The answer is posted as an attached image. We see that after about 14.75 years, the invading species will surpass the indigenous population.
If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75. It is easier than you might think.
Post if you would like to have more information on one or the other methods.
Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.
[tex]y = - x + 10 \\ y = x + 2[/tex]
Answers
-x + 10 = x + 2 add x to both sides.
10 = x + x + 2
10 = 2x + 2 Subtract 2 from both sides.
8 = 2x Divide by 2
x = 8/2
x = 4
Now solve for y
y = x + 2
y = 4 + 2
y = 6
Use the other equation to check it.
y = - x + 10
y = -4 + 10
y = 6
Multiple Choice
For questions 1–7, choose the word or phrase that best defines the italicized word.
1. "Only reapers reaping early/In among the bearded barley…" (1 point)
people who toil
people who obey
people who
Answers
Answer:
people who toil
Step-by-step explanation:
The above lines have been taken from the poem "The Lady of Shalott" written by Alfred, Lord Tennyson. The poem is about the mysterious Lady of Shalott who lives on the Island of Shalott. People who wanted to see her have never got the opportunity to see her. On the other hand, the people who work in the fields have listened to her singing an eerie song. The song which the lady sings echoes all over the river Camelot.
At Devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.
In the second week, he spent $2 more in total for the 5 lunches than the first week.
What is the increase in the mean for the second week compared to the first?
Round the answer to the nearest penny.
Enter your answer in the box.
$
Answers
$0.40.
Explanation:
To find the mean of the lunch costs for the first week, we first add together all of the amounts he spent on lunch that week:
$12.99+$10.50+$9.89+$6.90+$7.58 = $47.86.
Now we divide this by the number of lunches, 5:
47.86/5 = $9.572 ≈ $9.57.
The second week he spends a total of $2 more on lunch. Adding this to the first week's total, we have:
47.86+2 = $49.86.
To find the mean, we divide this by the number of lunches in the second week, 5:
49.86/5 = $9.972 ≈ $9.97.
The mean increased from the first week to the second week by 9.97-9.57 = $0.40.
The increase in the mean for the second week compared to the first with the given parameters is; $0.40
Let us first find the mean of the lunch costs for the first week;
Mean for first week = ($12.99 + $10.50 + $9.89 + $6.90 + $7.58)/5 = $9.572
We are told that he spends a total of $2 more on lunch in the second week.
Second week total = $12.99 + $10.50 + $9.89 + $6.90 + $7.58 + $2 = $49.86.
Mean of second week = 49.86/5 = $9.972
The increase in the mean for the second week compared to the first is;
9.972 - 9.572 = $0.40
Read more about average increase at; https://brainly.com/question/11360390
A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall. Which of the following measures correspond to the length to the laddder? Round to the nearest hundredth
Answers
When this situation is drawn out, it forms a right triangle (as shown in the attached image). The sides that are given are the two legs of the triangle. The side that is missing is the hypotenuse. The missing side can be found using the pythagorean theorem: [tex] a^{2} + b^{2} = c^{2} [/tex]
A = 20
B= 4
C = ?
This process is shown in the attached image. The length of the missing side (ladder) rounded to the nearest hundredth is 20.40[tex] ft^{2} [/tex]
Answer:
20.40
Step-by-step explanation:
Test Yourself
0.135 written as a fraction is _____.
Answers
hope it helps
The decimal 0.135 can be written as 27/200 in fractions.
What is a Fraction?A fraction is a number that can be expressed as p/q, where q is not equal to zero.
It is defined as part of the whole.
0.135 is a decimal and to convert into a fraction it has to be written as
=135/1000
On simplifying the fraction
=27/200
Therefore, the decimal 0.135 can be written as 27/200 in fractions.
To know more about Fraction
https://brainly.com/question/10354322
#SPJ2
At the Roadside Restaurant, each milkshake comes with 2 straws.
Which equation shows the number of straws the restaurant will use if they serve m milkshakes?
Use t to represent the total number of straws used and m to represent the number of milkshakes served.
A.
t = 2m
B.
t = 2 + m
C.
t = 2 – m
D.
t =
Answers
If you need more help, let me know!
Hope this helps! :-)
The area of a rectangle is 54 m^2 , and the length of the rectangle is 3m more than twice the width. find the dimensions of the rectangle.
Answers
ANSWER NOW PLEASE! EXTRA POINTS!
1) Martha is covering this trapezoid-shaped board with fabric. How many square feet of fabric does Martha need?
2) A garden in the shape of a regular hexagon has sides that are each 5 meters long. If the height of each of the congruent triangles within the hexagon is about 4.33 meters,what is the area of the garden?
Answers
2. About 64.95meters or technically 64.95191
hope this helps!! :)
Which ordered pairs are solutions to the inequality 2x+3y≥−1?
Answers
Final answer:
To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can solve the inequality and substitute different x-values to find corresponding y-values.
Explanation:
To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can use a graph or a table of values.
Let's solve the inequality for y:
2x + 3y ≥ -1
3y ≥ -1 - 2x
3y ≥ -2x - 1
y ≥ (-2/3)x - 1/3
Now we can choose some x-values and substitute them into the inequality to find corresponding y-values:
Let's choose x = 0:
y ≥ (-2/3)(0) - 1/3
y ≥ 0 - 1/3
y ≥ -1/3
So one ordered pair that is a solution is (0, -1/3).
Let's choose x = 3:
y ≥ (-2/3)(3) - 1/3
y ≥ -2 - 1/3
y ≥ -7/3
So another ordered pair that is a solution is (3, -7/3).
How many triangles exist with the given angle measures? 32°, 51°, 97°
Answers
We need to check if these angles satisfy that condition:
32°+51°+97°=180°
They do satisfy. Now we check if any angle has value that is not possible.
32° and 51° angles are OK.
97° angle is also OK. It is obtuse angle.
For each angle measures exactly one triangle exists. In this example we have an obtuse-angle triangle.
The correct answer is 1.
To determine if a set of three angles can form a triangle, we need to check if the sum of the three angles is equal to 180°. If the sum is 180°, then the angles can form a triangle; otherwise, they cannot form a triangle.
Given angles: 32°, 51°, 97°
we can represent the calculation as follows:
[tex]\text{Sum of the given angles} &= 32^\circ + 51^\circ + 97^\circ&= 180^\circ[/tex]
Since the sum of the three given angles is equal to 180°, these angles can form a triangle.
To determine the number of triangles that exist with these angle measures, we need to consider the permutations of the angles. Since the order of the angles does not matter in a triangle, we have:
[tex]\text{Number of triangles} = \frac{3!}{3} = 1[/tex]
Therefore, there exists only one triangle with the given angle measures of 32°, 51°, and 97°.
solve - 2 x 3 + 22 - 8 - 2 =
in a exponent 3 + 3 + 3 + 3 + 3
Answers
-6 + 12 =
6
3 + 3 + 3 + 3 + 3 = 15
3 x 3 x 3 x 3 x 3 = 3^5 (because there are 5 threes multiplied together)
-2x^3 + 22 - 8 - 2 =
-2x^3 + 12
hope this helps
6 + 22 = 28
28 - 8 = 20
20 - 2 = 18
3 + 3 + 3 + 3 + 3 as a exponent is [tex]3^{5} [/tex]
Because it says 3 5 times!
Hope this helped!
Read the word problem. Hershel buys 5 bags of cookies, 3 bags of granola, and several bags of fruit snacks from a bake sale. In total, he buys 10 bags from the bake sale. How many bags of fruit snacks did Hershel buy? Which type of word problem is shown? part-whole comparison multiplication division
Answers
Final answer:
Hershel bought 2 bags of fruit snacks in a part-whole comparison word problem, where the total (10 bags) minus the sum of known parts (5 bags of cookies and 3 bags of granola) equals the unknown part.
Explanation:
The word problem presented asks how many bags of fruit snacks Hershel bought if he bought a total of 10 bags, including 5 bags of cookies and 3 bags of granola. To solve this, we subtract the known quantities from the total: 10 total bags - 5 bags of cookies - 3 bags of granola = 2 bags of fruit snacks.
The type of word problem shown is a part-whole comparison because it involves figuring out a missing part of a whole based on the other known parts.
Could I get the answer, all work and explanation for this problem?
Answers
[tex] = \sqrt{25 \times 2 \times y^2 \times y \times x^{14} \times x} [/tex]
[tex] = 5|x^7y|\sqrt{2xy} [/tex]
Please help! Picture included!!!
In the figure below, triangle ABC is similar to triangle PQR.
What is the length of PQ?
A)18
B)4
C)32
D)6
Answers
24/8 = 3
So
6x 3 = 18
You are an accountant doing an audit for a law firm. A paralegal worked for a client for 5 hours per day for 3 days. The client was billed $50 per hour, and the paralegal was paid $30 per hour. After the paralegal’s wages were paid, what was the amount made by the law firm?
Answers
Amount collected = 50 x 15 = $750
Amount paid to the paralegal = 30 x 15 = $450
Amount made by the firm = 750 - 450 = $300
my sister needs help on this?can anyone give an explanation and answer/show work? you'll be brainliest if you do! thank you so much for taking the time :) v
Felicity recorded the number of laps she swam each month for 7 months.Her data is shown.
112,134,150,98,120,68,116
Which is the mean absolute deviation to the nearest whole number of Felicity's lap data?
A.16
B.18
C.20
D.36
Answers
Answer C
to calculate mean absolute deviation, we need to use the formula = (∑|x-mean|)/n
where x is each term given in data set
n is number of terms = 7
mean = sum of terms / n = (112+134+150+98+120+68+116)/7 = 114
now find (∑|x-mean|) = 138
MAD = (∑|x-mean|) / n = 138 /7 = 19.714 = 20
which value is a solution of the equation 2-8x=-6 ? ( 1point )
A. 1
B. 1/2
c. -1
d. 8,
Answers
What is the value of n?
Enter your answer in the box.
n =
Answers
Answer:
The value of n is 4.
Step-by-step explanation:
Theorem of intersection of two cords : If two cords AB and CD intersecting at point P, then
[tex]|AP|\times |PB|=|CP|\times |PD|[/tex]
Using the theorem of intersection of two cords, we get
[tex](n-2)\times 16=8\times (n+8)[/tex]
Use distribution property,
[tex]16n+32=8n+64[/tex]
[tex]16n-8n=64-32[/tex]
[tex]8n=32[/tex]
Divide both sides by 8.
[tex]n=\frac{32}{8}[/tex]
[tex]n=4[/tex]
Therefore the value of n is 4.
If (3x + 17) is equivalent to (4x - 8) what is x
Answers
3x + 17 = 4x - 8
3x (-4x) + 17 (-17) = 4x (-4x) - 8 (-17)
-x = -8 - 17
-x = -25
-x(/-1) = -25(/-1)
x = 25
25 is your answer
hope this helps
How do I find x in this triangle?